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Dot Product:
The dot or inner product of two vectors a and b is written as a • b and is defined as
In another words, this is like matrix multiplication when multiplying a row vector a by a column vector b; and the result is a scalar. This can be accomplished by using the * operator and transposing the second vector, or by using the dot function in a MATLAB:
>> vec1 = [4 2 5 1];
>> vec2 = [3 6 1 2];
>> vec1*vec2'
ans =
31
>> dot(vec1,vec2)
7.13
Dot Product: The dot or inner product of two vectors a and b is written as a • b and is defined as In another words, this is like matrix multiplication when multiplyi
Matrix definitions: As we know the matrix can be thought of as a table of values in which there are both rows and columns. The most common form of a matrix A (that is sometime
Illustration of gauss-jordan elimination: An illustration of interchanging rows would be r1 ¬→ r3, that would results: Now, beginning with this matrix, an illustration of sc
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. Generate the following signal, x(n)=1+cos((25*pi*n)/100),0 Compute the DTFT of x[n] for w=0:0.01:2*pi Plot the Real part, imaginary part, the amplitude and phas
Write a program to examine exponential function: We will write a program to examine the value of e and the exponential function. It will be a menu-driven. The menu options wil
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Expanding a function: The expand function will multiply out terms, and factor will do the opposite: >> expand((x+2)*(x-1)) ans = x^2 x-2 >> factor(ans)
Illustration of Sound files: For illustration, the following script generates a subplot which shows the signals from chirp and from train, which is as shown in figure:
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